Question:
Divide:
acx2 + (bc + ad)x + bd by (ax + b)
Solution:
$\frac{a c x^{2}+(b c+a d) x+b d}{(a x+b)}$
$=\frac{a c x^{2}+b c x+a d x+b d}{(a x+b)}$
$=\frac{c x(a x+b)+d(a x+b)}{(a x+b)}$
$=\frac{(a x+b)(c x+d)}{(a x+b)}$
$=c x+d$
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